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On the dynamics of the four‐dimensional rigid body in a quadratic potential field
Zhivkov, Angel ; Stanislavova, Milena
Zhivkov, Angel
Stanislavova, Milena
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Abstract
We study the nondegenerated solutions of the rotation of a four‐dimensional rigid body in a quadratic potential field. This problem has 6 degrees of freedom. We obtain 143 topologically different solutions and explicit formulas in Prym theta‐functions.
Description
This is the published version, also available here: http://dx.doi.org/10.1063/1.531285.
Date
1995-04-19
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American Institute of Physics
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Keywords
Rigid Body Dynamics
Citation
Zhivkov, Angel & Stanislavova, Milena. "On the dynamics of the four‐dimensional rigid body in a quadratic potential field." J. Math. Phys. 36, 5760 (1995); http://dx.doi.org/10.1063/1.531285.